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Finding the Third Proportional to 156,787 and 236,639

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Solution

The third proportional to 156,787 and 236,639 is: 357,159.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,787 : 236,639 = 236,639 : x
  2. Step 2: Convert to fraction form
    156,787/236,639 = 236,639/x
  3. Step 3: Cross multiply
    156,787x = 236,639 × 236,639
  4. Step 4: Simplify right side
    156,787x = 55,998,016,321
  5. Step 5: Solve for x
    x = 55,998,016,321/156,787
  6. Step 6: Final answer
    x = 357,159.82

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.